The same function (Go to Destination) works with "On Release or Tap", both in EPUB Interactivity Preview and after using the Publish Online option. However, "on click" is not working at all. I am using InDesign CC 2018 and Windows 10, I have tried saving my file as imdl (and opening it back) and still nothing!

I already explained that. On release refers to the mouse being released after a click. Now, instead of going round in circles here, why don't you try it and then let us know if you're still having issues.